4671105408 has 224 divisors, whose sum is σ = 14107438440. Its totient is φ = 1539772416.

The previous prime is 4671105401. The next prime is 4671105427. The reversal of 4671105408 is 8045011764.

It is a happy number.

4671105408 is a `hidden beast` number, since 46 + 71 + 1 + 0 + 540 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4671105401) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10544035 + ... + 10544477.

Almost surely, 2^4671105408 is an apocalyptic number.

4671105408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4671105408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7053719220).

4671105408 is an abundant number, since it is smaller than the sum of its proper divisors (9436333032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4671105408 is an equidigital number, since it uses as much as digits as its factorization.

4671105408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 4671105408 is about 68345.4856446276. The cubic root of 4671105408 is about 1671.6289707308.

The spelling of 4671105408 in words is "four billion, six hundred seventy-one million, one hundred five thousand, four hundred eight".